Multiple choice

In a cricket match there are three types of tickets A, B and C each costing Rs. 1000, Rs. 500 and Rs. 200 respectively. The ratio of ticket sold of category A, B and C is 3 : 2 : 5. If the total collection from selling the tickets is Rs. 2.5 crore. Find the total number of tickets sold?

  1. 5000

  2. 4800

  3. 50000

  4. 52000

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the number of tickets be 3x, 2x, 5x. Revenue = 1000(3x) + 500(2x) + 200(5x) = 3000x + 1000x + 1000x = 5000x. Total revenue = 2.5 crore = 25,000,000. 5000x = 25,000,000, so x = 5000. Total tickets = 3x + 2x + 5x = 10x = 50,000.

AI explanation

Let the number of tickets sold for categories A, B, and C be 3x, 2x, and 5x, respectively. The total collection is calculated as 3x multiplied by 1000, plus 2x multiplied by 500, plus 5x multiplied by 200, which equals 25000000 rupees. This simplifies to 3000x plus 1000x plus 1000x equals 25000000, giving 5000x equals 25000000, so x equals 5000. The total number of tickets sold is the sum of the ratios, 3 + 2 + 5 = 10, multiplied by 5000, resulting in 50000 tickets.

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